The Basic (n,2n)-Fold of Steady Axisymmetric Taylor Vortex Flows

  • R. Meyer-Spasche
  • M. Wagner
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 37)


We study steady axisymmetric flows in a wide gap between concentric cylinders. End effects are neglected (periodic boundary conditions). With both cylinders rotating, there are four parameters in the problem: The Reynolds number Re, the axial period λ, the radius ratio η, and the rotation rate μ. We solve the Navier-Stokes equations for such flows numerically, using the very reliable methods described earlier: Discretization by Fourier decomposition in the axial direction and centered finite differences in the radial direction; systematic variation of Re and λ by using the method of continuation with Gauss-Newton iterations. η and μ are mostly kept fixed at μ = 0 and η = 0.727, the wide gap value of the Burkhalter/Koschmieder experiments and of numerical investigations.


Bifurcation Point Couette Flow Discretization Error Periodic Repetition Bifurcation Curve 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • R. Meyer-Spasche
    • 1
  • M. Wagner
    • 2
  1. 1.Max-Planck-Institu für PlasmaphysikGarchingFed. Rep. of Germany
  2. 2.Institut für Mathematik IIIFreie UniversitätBerlin 33Germany

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